Real spin-Clifford bundle and the spinor structure of space-time
type: Item
instance of: scholarly article
title: Real spin-Clifford bundle and the spinor structure of space-time
zbMATH Open document ID: 0699.53021
DOI: 10.1007/BF00674440
author: V. L. Figueiredo
author: Waldyr A. jun. Rodrigues
published in: International Journal of Theoretical Physics
publication date: 1990-01-01T00:00:00Z
review text: This is a continuation of two previous papers of the authors [ibid. 371- 395 (1990) and 397-412 (1990); see the two preceding reviews]. The present goal is an elementary proof of Geroch's famous theorem on the existence of a spinor structure of space-time. This proof avoids the complexification of the Clifford algebra of the space-time and employs only rudimentary facts about the bundles and the bundle reduction process. The paper concludes with a critique and clarification of the notion of spinor structure proposed by \textit{W. Graf} [Ann. Inst. Henri Poincaré, n. Sér., Sect. A 29, 85-108 (1978; Zbl 0397.53005)].
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 83C60
zbMATH DE Number: 4146998
zbMATH Keywords: Clifford bundle
zbMATH Keywords: Geroch theorem
zbMATH Keywords: spinor structure
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Clifford modules
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cites work: Spinor structure of space-time
cites work: Q3782468
cites work: Spinor Structure of Space-Times in General Relativity. I
cites work: Global spinor fields in space-time
cites work: Q3890822
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full work available at URL: https://doi.org/10.1007/bf00674440
OpenAlex ID: W2912033023
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description: scientific article; zbMATH DE number 4146998